A
-dimensional
dual hyperoval
inside
() was constructed by
Yoshiara, for a generator
of Gal and an
o-polynomial
of
().
There, its automorphism group is determined and a criterion is given for
these dimensional dual hyperovals to be isomorphic, assuming that the map
on
induced
by
lies in
Gal.
In this paper, we extend these results for a monomial o-polynomial
. We show
that Aut or
according
as
or
, if
is monomial but
Gal.
In particular, a special member
of
is always fixed by
any automorphism of
.
Furthermore,
if
and only if either
or
id.
|